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A note on numerically consistent initial values for high index differential-algebraic equations

Arévalo, Carmen LU (2008) In Electronic Transactions on Numerical Analysis 34. p.14-19
Abstract
When differential-algebraic equations of index 3 or higher are solved

with backward differentiation formulas, the solution in the first few

steps can have gross errors, the solution can have gross errors in the

first few steps, even if the initial values are equal to the exact

solution and even if the step size is kept constant. This raises the

question of what are consistent initial values for the difference

equations. Here we study how to change the exact initial values into what

we call numerically consistent initial values for the implicit Euler

method.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
high index differential-algebraic equations, consistent initial values, higher index DAEs
in
Electronic Transactions on Numerical Analysis
volume
34
pages
14 - 19
publisher
Kent State University Library
external identifiers
  • wos:000273123000003
  • scopus:74949143616
ISSN
1068-9613
language
English
LU publication?
yes
id
963645f8-b7e7-49e0-846b-94446832b31a (old id 1468235)
alternative location
http://etna.mcs.kent.edu/vol.34.2008-2009/pp14-19.dir/pp14-19.pdf
date added to LUP
2009-09-17 10:48:30
date last changed
2017-02-13 13:05:38
@article{963645f8-b7e7-49e0-846b-94446832b31a,
  abstract     = {When differential-algebraic equations of index 3 or higher are solved <br/><br>
with backward differentiation formulas, the solution in the first few <br/><br>
steps can have gross errors, the solution can have gross errors in the <br/><br>
first few steps, even if the initial values are equal to the exact <br/><br>
solution and even if the step size is kept constant. This raises the <br/><br>
question of what are consistent initial values for the difference <br/><br>
equations. Here we study how to change the exact initial values into what <br/><br>
we call numerically consistent initial values for the implicit Euler<br/><br>
method.},
  author       = {Arévalo, Carmen},
  issn         = {1068-9613},
  keyword      = {high index differential-algebraic equations,consistent initial values,higher index DAEs},
  language     = {eng},
  pages        = {14--19},
  publisher    = {Kent State University Library},
  series       = {Electronic Transactions on Numerical Analysis},
  title        = {A note on numerically consistent initial values for high index differential-algebraic equations},
  volume       = {34},
  year         = {2008},
}